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Finding the Fourth Proportional to 707.61, 1,061.67 and 317.58

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Solution

The fourth proportional to 707.61, 1,061.67 and 317.58 is: 476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.61 : 1,061.67 = 317.58 : x
  2. Step 2: Convert to fraction form
    707.61/1,061.67 = 317.58/x
  3. Step 3: Cross multiply
    707.61x = 1,061.67 × 317.58
  4. Step 4: Simplify right side
    707.61x = 337,165.16
  5. Step 5: Solve for x
    x = 337,165.16/707.61
  6. Step 6: Final answer
    x = 476.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.